A steel cantilever beam, of length 2L, has an I-section, see Figure Q3. The cantilever beam is under a uniformly distributed load q = 155 kN/m applied in its vertical plane of symmetry at OA part of the span. The yield strength of the steel is [0] = 420 MPa; the Young's modulus E = 239 GPa. L= 2 m and the coordinates of Point H are x= 0 mm, y = -65 mm, z= 0 mm. y O L 9 ↓ L B X Figure Q3 20mm 10mm H 20mm 180mm -220mm a) The factors of safety predicted at point H by the maximum shear stress theory of failure (Tresca criterion)

Consider the two states of stress as shown in configurations I and Il in the figure below. From the standpoint of distortion energy (von-Mises) criterion, which one of the following statements is true? II

The stresses on the surface of a hard bronze component are shown in the figure below. The yield strength of the bronze is σY = 345 MPa.a) What is the factor of safety predicted by the maximum-shear-stress theory of failure for the stress state shown? Does the component fail according to this theory?b) What is the value of the Mises equivalent stress for the given state of plane stress?c) What is the factor of safety predicted by the failure criterion of the maximum-distortion energy theory of failure? Does the component fail according to this theory?

The bxdxhrubber blocks shown are used in a double U shear mount to isolate the vibration of a machine from its supports. An applied load of P = 480 N causes the upper frame to be deflected downward by 4.9 mm. Determine the average shear strain and the shear stress in the rubber blocks. Assume b = 21 mm, d = 26 mm, and h = 23. Double U anti-vibration shear mount d P h Rubber block dimensions Shear deformation of blocks Answers: Average shear strain = i rad. Average shear stress = КРа.